﻿ Python Math: Convert a floating point number to an approximate rational value - w3resource the # Python Math: Convert a floating point number to an approximate rational value

## Python Math: Exercise-47 with Solution

Write a Python program to convert a floating point number (PI) to an approximate rational value on the various denominator.

Note: max_denominator = 1000000

Sample Solution:-

Python Code:

``````import fractions
import math

print('PI       =', math.pi)

f_pi = fractions.Fraction(str(math.pi))
print('No limit =', f_pi)

for d in [1, 5,  50, 90, 100, 500, 1000000]:
limited = f_pi.limit_denominator(d)
print('{0:8} = {1}'.format(d, limited))
```
```

Sample Output:

```PI       = 3.141592653589793
No limit = 3141592653589793/1000000000000000
1 = 3
5 = 16/5
50 = 22/7
90 = 267/85
100 = 311/99
500 = 355/113
1000000 = 3126535/995207
```

Flowchart: Python Code Editor:

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## Python: Tips of the Day

Python: Get the Key Whose Value Is Maximal in a Dictionary

```>>> model_scores = {'model_a': 100, 'model_z': 198, 'model_t': 150}
>>> # workaround
>>> keys, values = list(model_scores.keys()), list(model_scores.values())
>>> keys[values.index(max(values))]
'model_z'
>>> # one-line
>>> max(model_scores, key=model_scores.get)
'model_z'
```